What is the measure of angle a?

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1 Answer
May 30, 2018

Answer to nearest hundredth is angle a = 53^@

Explanation:

We can use SOHCAHTOA

SOH - sintheta =Opposite/Hypotenuse

CAH - costheta = Adjacent / Hypotenuse

TOA - tantheta = Opposite / Adjacent

To find angle a , we can use Cosa = Adjacent / Hypotenuse

Adjacent = 3cm
Hypotenuse = 5cm

cosa = 3/5 = 0.6

a = Cos^-1 0.6 = 53.1301^@

So the answer to nearest hundredth is angle a = 53^@